Polynomial Fucntion Problem
posted by Jen .
Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem?
Find an nth degree polynomial function with real coefficients satisfying the given conditions.
1. n=3; 3 and i are zeros; f(2)=20
my answer choices are:
a. f(x)=4^3+12x^24x+12
b.f(x)=4^3+12x^2+4x12
c.f(x)=4^312x^24x+12
d.f(x)=4^312x^2+4x12

I already gave you a function that worked. There are others that also work. Since this is multiple choice, just plug in the numbers 1, 2 and 3 into each equation and see which one satisfies the three conditions. (b) does not satisfy the f(1) = 0 condition, for example.